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That depends on where the forces will be coming from. If both structures are subjected to forces in 3 dimensions, then the 3 dimensional structure will be less apt to fall over or something.

If by strength you mean not compressing, then the 2 dimensional structure might be better theoretically, though you couldn't really build a 2 dimensional structure.

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Q: What is stronger a 2 dementional structure or a 3 dementional?
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